The lines 5x + 2y = 14 and y = –5x + 9 are A. parallel b.perpendicular c.neither​

Answer:

D

Step-by-step explanation:

Hello!

The answer is D because, the 1st part triples which is part of the question and is atleast 4.5

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Answer:

1. coefficient

2. variable

3. constant

Step-by-step explanation:

The value of the expression illustrated as 1.5(6t+2) is 9t + 3.

Expression is simply used in Mathematics to show the relationship between the variables that are illustrated. In this case, this depicts the information given.

Based on the information, the expression is illustrated as:

1.5(6t+2)

Open the parentheses

(1.5 × 6t) + (1.5 × 2)

= 9t + 3.

The value is 9t + 3.

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Complete question

Find the value of the expression given 1.5(6t+2) i

The hypergeometric distribution should not be used, hence the correct option is given by:

no, because it is not looking for the first occurrence of success.

These two conditions should be respected:

None of these conditions are true in this case, hence the correct option is given by:

no, because it is not looking for the first occurrence of success.

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Answer:

yearly cost for housing expenses = $11,400, average monthly cost for food = $650

yearly clothing cost = $900,

average monthly cost for transportation= $500,

Yearly cost for insurance & medical= $14,400

yearly cost for emergency fund = $600

average monthly college saving = $50

Step-by-step explanation:

Yearly housing = monthly cost * 12 = 950 * 12 = 11400

Food, monthly = 7800 /12 = 650

Clothing, yearly = 75 * 12 = $900

Monthly transport = 6000 / 12 = $500

Insurance and medical = 1200*12 =14400

Emergency fund = $50 * 12 = $600

College saving = $600 / 12 = $50

Step-by-step explanation:

\( \frac{1}{ \sqrt{2} + 1 } \)

(On Rationalizing )

\( = \frac{1}{ \sqrt{2} + 1} \times \frac{ \sqrt{2} - 1}{ \sqrt{2} - 1 } \)

\( = \frac{ \sqrt{2} - 1 }{( { \sqrt{2} )}^{2} - {(1)}^{2} } \)

\( = \frac{ \sqrt{2} - 1}{2 - 1} \)

\( = \frac{ \sqrt{2} - 1}{1} \)

\( = \sqrt{2} - 1(ans)\)

The -1 part is not inside the natural log.

==============================================

Work Shown:

1 + 2*e^(x+1) = 9

2*e^(x+1) = 9-1

2*e^(x+1) = 8

e^(x+1) = 8/2

e^(x+1) = 4

x+1 = Ln(4)

x = Ln(4) - 1

Answer:

\({ \tt{y = \frac{1}{2} x + 6}} \\ \)

- If two lines areperpendicular, their gradients have a relation below;

\({ \tt{m_{1} \times m _{2} = - 1 }} \\ \)

- Therefore, gradient for points (b, 1) and (-3, 2);

\({ \tt{ \frac{1}{2} \times m _{2} = - 1}} \\ \\ { \tt{m = - 2}}\)

- Therefore:

\({ \tt{ - 2 = \frac{2 - 1}{ - 3 - b} }} \\ \\ { \tt{ - 2( - 3 - b) = 1}} \\ \\ { \tt{6 + 2b = 1}} \\ { \tt{2b = - 5}} \\ { \tt{b = - \frac{5}{2} }}\)

Answer:

The answer is 35

Answer:2 3/ 8

Step-by-step explanation: 5 1/8 - 2 3/4

                                            = 41/ 8  - 11/4

                                          = 41/8 - 22/8

                                           =19/8

                                        =2 3/ 8

Change to improper fraction .Then make the denominator the same ,make both denominator to 8 . Now you have 41/8 and 22/8 ,you can subtract it and it gives you 19/8.Lastly you make the improper fraction to mixed  numbers which is 2 3/ 8 .

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. The external height of the box is 12.1 cm.

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

Given that the internal height of a rectangular box is 10.5cm. The thickness of the bottom is 3/5cm and the thickness of the top is 1cm. Therefore, the external height of the rectangular box is,

Height of rectangular box

= Thickness of bottom + Internal height of the box + Thickness of the top

= 3/5 cm + 10.5 cm + 1 cm

= 0.6cm + 10.5cm + 1cm

= 12.1 cm

Hence, the external height of the box is 12.1 cm.

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Answer:

Kelly has read more of the book

He bought a total of 300 pens and pencils and spend $62.50.

Each pen cost $0.25 and each pencil cost $0.15.

Lets call x the number of pens and y the number of pencils.

Then, as the sum of x and y is 300, we can write:

The total cost is $62.50, which is the result of adding each individual cost: the price multiplied by the quantity.

Then, we can write:

We use the information of the first equation to define y in function of x and replace in the second equation:

Knowing x, we can calculate y:

He bought 125 pencils and 175 pens.

Answer: A. 175

Answer: The expression 6xy - 3xy can be simplified to 36 if x = 3 and y = 4.

Step-by-step explanation:

First let's simplify the problem.

6xy - 3xy = 3xy

3xy

Now let's substitute x for 3 and y for 4.

3 x 3 x 4

Finally, let's solve using the associative property!

  (3 x 3) x 4

= 9 x 4

= 36

  3 x (3 x 4)

= 3 x 12

= 36

The expression 6xy - 3xy can be simplified to 36.

The true proportion of the similar triangles is \(\frac{AC}{AE} = \frac{BC}{BD}\)

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

In other words, similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other.

Therefore,

ΔACE is similar to ΔBCD

Hence,

\(\frac{AC}{BC}=\frac{AE}{BD}=\frac{CE}{CD}\)

Therefore, the proportion that is true for the ΔACE and ΔBCD is \(\frac{AC}{AE} = \frac{BC}{BD}\)

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Answer:

4

Step-by-step explanation:

Answer:

4.5k

Step-by-step explanation:

Answer:

4 times

Step-by-step explanation:

it wont go smaller than 3/4 so it is 4 times

Step-by-step explanation:

divide our by 2 four times.

that is the same as dividing by 2⁴ = 16

and that would render the fraction to 3/4.

Answer: 18+0.08B>75

Step-by-step explanation: 713 paintballs

The inequality equation is given as 18 + 0.08B ≥ 75 then the number of the paintballs that Carolina buys is 713.

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.

Carolina goes to a paintball field that charges an entrance fee of \$18 and $0.08, per ball.

The field has a promotion that says, "Get $10 off if you spend $75 or more!" Carolina wonders how many paintballs she needs to buy along with the entrance fee to get the promotion.

Let B represent the number of paintballs that Carolina buys.

Then the inequality equation will be given as

18 + 0.08B ≥ 75

Then the value of B will be

0.08B ≥ 75 - 18

       B ≥ 712.5 ≈ 713

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We have proved the given equations:

a) dim(T(U)) = dim(U) - dim(Ker(T)) for any subspace U of V.

b) rank(S∘T) = rank(T) - dim(Im(T) ∩ Ker(S)) for linear transformations S: W → Z and T: V → W.

a) Let's use the Rank-Nullity Theorem for T|U: U → W.

According to the theorem, dim(U) = dim(Im(T|U)) + dim(Ker(T|U)).

Substituting Ker(T|U) with U ∩ Ker(T), we have:

dim(U) = dim(Im(T|U)) + dim(U ∩ Ker(T)).

Since T(U) = Im(T|U), we can rewrite the equation as:

dim(T(U)) = dim(Im(T|U)) + dim(U ∩ Ker(T)).

Using the dimension property that dim(A ∩ B) = dim(A) + dim(B) - dim(A ∪ B), we can further simplify the equation:

dim(T(U)) = dim(Im(T|U)) + dim(U) - dim(U ∪ Ker(T)).

Since U ∪ Ker(T) = U (because Ker(T) is a subset of V), we have:

dim(T(U)) = dim(Im(T|U)) + dim(U) - dim(U).

Finally, using the fact that dim(U) - dim(U) = 0, we get:

dim(T(U)) = dim(U) - dim(Ker(T)).

Therefore, we have proved that dim(T(U)) = dim(U) - dim(Ker(T)) for any subspace U of V.

b. Take any vector z ∈ Im(T) ∩ Ker(S).

This means that z ∈ Im(T) and z ∈ Ker(S). Therefore, there exists a vector v ∈ V such that T(v) = z, and S(z) = 0. Since S(z) = S(T(v)) = (S∘T)(v), it follows that z ∈ Im(S∘T).

We have Im(S∘T) = Im(T) ∩ Ker(S).

Now, let's use the dimension property that dim(A ∩ B) = dim(A) + dim(B) - dim(A ∪ B) for Im(T) and Ker(S):

dim(Im(T) ∩ Ker(S)) = dim(Im(T)) + dim(Ker(S)) - dim(Im(T) ∪ Ker(S)).

Since Im(T) ∪ Ker(S) is a subset of Z, we can rewrite the equation as:

dim(Im(T) ∩ Ker(S)) = dim(Im(T)) + dim(Ker(S)) - dim(Z).

Since dim(Z) = 0 (Z is a zero-dimensional vector space), we have:

dim(Im(T) ∩ Ker(S)) = dim(Im(T)) + dim(Ker(S)).

Therefore, we can conclude that rank(S∘T) = rank(T) - dim(Im(T) ∩ Ker(S)).

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Let T:V + W be a linear transformation. a) For any subspace U CV, prove that dim(T(U)) = dim(U)- dim(UnKer(T)). [Hint: Consider the restriction T\U:UW. Prove that Ker(T\U) = UN Ker(T). Use the Rank-Nullity Theorem.) b) Let S :W → Z be a linear transformation. Prove that rank(SoT) = rank(T) – dim(Im(T) n Ker(S)).

The limit of the given rational function is 18, so lim (x²-81)/(x-9) as x→9 is equal to 18. To find the limit of the given rational function using the Theorem on Limits of Rational Functions, we have:

lim (x²-81)/(x-9) as x→9.

Step 1: Factor the numerator.
The numerator can be factored as a difference of squares: x² - 81 = (x - 9)(x + 9).

Step 2: Simplify the rational function.
Now we have lim ((x - 9)(x + 9))/(x-9) as x→9. We can cancel out the common factor (x - 9) from the numerator and the denominator, which leaves us with lim (x + 9) as x→9.

Step 3: Evaluate the limit.
We can directly substitute the value x = 9 into the simplified expression: (9 + 9) = 18.

Thus, the limit of the given rational function is 18, so lim (x²-81)/(x-9) as x→9 is equal to 18.

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Answer:

x=4

Step-by-step explanation:

both angles add up to 90* because it is a right angle

10x + 12x + 2 = 90

22x + 2 = 90

subtract 2 from both sides of the equation

22x = 88

divide both sides by 22

x = 4

Answer:

3 x 3 x 10 = 90

8 x 4 x 10 = 320

320 + 90 = 410 cm^3

Split the figure.

Answer:

Yikes, this is a tough one. I'll try my best.

410 cubed cm

Step-by-step explanation:

For these types of questions, split the two shapes, find the volume, then add.

The formula for volume is:

V=whl

So for the first shape, we multiply:

7 × 3 × 10 = 210

That's the first shape, the next shape is:

4 × 5 × 10 = 200

Add these together:

200 + 210 = 410

Have a good day :)

Answer:

34889

Step-by-step explanation:

qunvert

The probability that he gets exactly one rose given that at least one of the flowers he gets is pink is 4/7.

To calculate the probability that he gets exactly one rose given that at least one of the flowers he gets is pink, we need to use conditional probability. Let R be the event that he gets a rose and P be the event that he gets a pink flower. Then, we want to find P(R=1 | P≥1).

Using Bayes' theorem, we have:

P(R=1 | P≥1) = P(R=1 and P≥1) / P(P≥1)

We can calculate the probability of getting at least one pink flower as:

P(P≥1) = 1 - P(P=0)

Assuming the probabilities of getting a rose and a pink flower are independent, we can calculate the probabilities of getting exactly one rose and at least one pink flower as:

P(R=1 and P≥1) = P(R=1) * P(P≥1) = (2/5) * (1 - 3/5) = 2/5 * 2/5 = 4/25

P(P=0) = 3/5, since there are 3 flowers that are not pink out of a total of 5.

Therefore, we have:

P(R=1 | P≥1) = (4/25) / (1 - 3/5) = 4/7

So the probability that he gets exactly one rose given that at least one of the flowers he gets is pink is 4/7.

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Answer:

Step-by-step explanation:

then multiply

Answer:

8

Step-by-step explanation:

32/4 = 8

8 = 1/4(32)

Answer:

8

Step-by-step explanation:

Since there is 32 students and 3/4 of them have brown hair right. We can change the 3/4 fraction to a similar fraction to help. We can bump it up. As it is similar to 6/8 and 12/16 and 24/32

So 24/32 would have brown hair leaving 8 with blonde

Answer:

d. It is a two-dimensional plane which is divided by the axes into four regions called quadrant

Answer:

As for your final task for this lesson, you will need to prepare and deliver a speech on a familiar issue. You are free to decide on what issue to discuss, but your speech should only range two (2) to three (3) minutes only. You will also have to employ the different techniques in public speaking cited in this lesson.

Step-by-step explanation:

As for your final task for this lesson, you will need to prepare and deliver a speech on a familiar issue. You are free to decide on what issue to discuss, but your speech should only range two (2) to three (3) minutes only. You will also have to employ the different techniques in public speaking cited in this lesson.

Among the given options, the appropriate method to forecast a time series that has both trend and seasonality is the Holt-Winters method. This method takes into account the trend, seasonality, and level components of the time series to generate accurate forecasts.

The Holt-Winters method, also known as triple exponential smoothing, is a forecasting technique suitable for time series data that exhibit trend and seasonality. It considers three components: level, trend, and seasonality, to capture the underlying patterns in the data.
The method uses exponential smoothing to estimate the level and trend components while incorporating seasonality through seasonal indices. By considering the historical values of the time series, it provides forecasts that account for both the overall trend and the seasonal variations.
On the other hand, simple linear regression with only one independent variable representing time is not suitable for capturing seasonality patterns. Linear regression assumes a linear relationship between the independent variable and the dependent variable and does not account for seasonality fluctuations.
Moving average, while useful for smoothing out random variations in a time series, does not explicitly handle trend and seasonality. It is a simpler method that relies on averaging past values to predict future values, but it does not account for the specific patterns observed in the data.
Exponential smoothing with a single parameter alpha is also not designed to handle seasonality explicitly. It focuses on updating the level component of the time series based on a weighted average of the current and past observations, but it does not consider seasonality effects.
Therefore, the most appropriate method among the given options to forecast a time series with trend and seasonality is the Holt-Winters method.

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Answer:

For this one, your answer will be

(x-8) would describe the case here planes grew 8 inches but x inches this weak.

Step-by-step explanation:

hope it helps

have a great day!!

Answer:

the plant was 8 in last week and x inches tall this week

Step-by-step explanation:

it is just fliped

Answer:

A. The correct answer is B, the point where the most profit is made.

B. The correct answer is B, the price per pen where no profit is made.

C.

\(m = \frac{120 - 0}{3 - 6} = - \frac{120}{3} = - 40\)

When the price of a pen increases by one dollar, the profit decreases by $40.

D. The domain of this graph given the situation is 0 < x < 6 because there is no profit (there is a loss) beyond those points.